The equivalent resistance between points A and B for the following combination of resistors is
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Answer: A
The equivalent resistance is 1 Ω.
Label the junctions: P between the first and second resistors, Q between the second and third. One wire joins A to Q, so A and Q are the same node; the other joins P to B, so P and B are the same node. Then:
- the first resistor runs from A to P, that is from A to B;
- the second runs from P to Q, that is from B to A;
- the third runs from Q to B, that is from A to B.
All three 3 Ω resistors are connected between A and B in parallel, so R = 3/3 = 1 Ω. 9 Ω ignores the wires and treats them as in series.
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